ON UNDAMPED HEAT WAVES IN AN ELASTIC SOLID

被引:1383
作者
GREEN, AE [1 ]
NAGHDI, PM [1 ]
机构
[1] UNIV CALIF BERKELEY,DEPT MECH ENGN,BERKELEY,CA 94720
关键词
D O I
10.1080/01495739208946136
中图分类号
O414.1 [热力学];
学科分类号
摘要
This paper is concerned with thermoelastic material behavior whose constitutive response functions possess thermal features that are more general than in the usual classical thermoelasticity. After a general development of the constitutive equations in the context of both nonlinear and linear theories, attention is focused on the latter. In particular, the one-dimensional version of the equation for the determination of temperature in the linearized theory provides an easy comparative basis of its predictive capability: In one special case where the Fourier conductivity is dominant, the temperature equation reduces to the classical Fourier law of heat conduction, which does not permit the possibility of undamped thermal waves; however, in another special case in which the effect of conductivity is negligible, the equation has undamped thermal wave solutions without energy dissipation.
引用
收藏
页码:253 / 264
页数:12
相关论文
共 15 条
[1]   TEMPERATURE PULSES IN DIELECTRIC SOLIDS [J].
ACKERMAN, CC ;
GUYER, RA .
ANNALS OF PHYSICS, 1968, 50 (01) :128-&
[2]  
Boley B., 1960, THEORY THERMAL STRES
[3]  
CARLSON DE, 1972, HDB PHYSIK A, V6, P297
[4]   A DEMONSTRATION OF CONSISTENCY OF AN ENTROPY BALANCE WITH BALANCE OF ENERGY [J].
GREEN, AE ;
NAGHDI, PM .
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 1991, 42 (02) :159-168
[5]   A REEXAMINATION OF THE BASIC POSTULATES OF THERMOMECHANICS [J].
GREEN, AE ;
NAGHDI, PM .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1991, 432 (1885) :171-194
[6]   ASPECTS OF THE 2ND LAW OF THERMODYNAMICS IN THE PRESENCE OF ELECTROMAGNETIC EFFECTS [J].
GREEN, AE ;
NAGHDI, PM .
QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS, 1984, 37 (MAY) :179-193
[7]   NOTE ON INVARIANCE UNDER SUPERPOSED RIGID BODY MOTIONS [J].
GREEN, AE ;
NAGHDI, PM .
JOURNAL OF ELASTICITY, 1979, 9 (01) :1-8
[8]   THERMODYNAMICS AND NATURE OF 2ND LAW [J].
GREEN, AE ;
NAGHDI, PM .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1977, 357 (1690) :253-270
[9]  
GREEN AE, IN PRESS J ELASTICIT
[10]   SECOND SOUND IN NAF [J].
JACKSON, HE ;
WALKER, CT ;
MCNELLY, TF .
PHYSICAL REVIEW LETTERS, 1970, 25 (01) :26-&